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Finding the Fourth Proportional to 200,778.40, 277,082.88 and 120,190.33

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Solution

The fourth proportional to 200,778.40, 277,082.88 and 120,190.33 is: 165,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.40 : 277,082.88 = 120,190.33 : x
  2. Step 2: Convert to fraction form
    200,778.40/277,082.88 = 120,190.33/x
  3. Step 3: Cross multiply
    200,778.40x = 277,082.88 × 120,190.33
  4. Step 4: Simplify right side
    200,778.40x = 33,302,682,784.55
  5. Step 5: Solve for x
    x = 33,302,682,784.55/200,778.40
  6. Step 6: Final answer
    x = 165,867.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.